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Finding the Fourth Proportional to 747.20, 1,119.26 and 438.12

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Solution

The fourth proportional to 747.20, 1,119.26 and 438.12 is: 656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.20 : 1,119.26 = 438.12 : x
  2. Step 2: Convert to fraction form
    747.20/1,119.26 = 438.12/x
  3. Step 3: Cross multiply
    747.20x = 1,119.26 × 438.12
  4. Step 4: Simplify right side
    747.20x = 490,369.78
  5. Step 5: Solve for x
    x = 490,369.78/747.20
  6. Step 6: Final answer
    x = 656.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.